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The paper deals with dynamical system analysis of a coupled scalar field inthe Randall-Sundrum(RS)2 brane world. The late time attractor describes thefinal state of the cosmic evolution. In RS2 based phantom model there is nolate-time attractor and consequently there is uncertainty in cosmic evolution.In this paper, we have shown that it is possible to get late-time attractorwhen gravity is coupled to scalar field. Finally, in order to predict the finalevolution of the universe, we have also studied classical stability of themodel. It is found that there are late time attractors which are both locallyas well as classically stable and so our model can realise the late time cosmicacceleration.

Complete cosmic scenario in the Randall-Sundrum braneworld from the dynamical systems perspective